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Finding the Fourth Proportional to 987.91, 1,363.71 and 656.23

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Solution

The fourth proportional to 987.91, 1,363.71 and 656.23 is: 905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.91 : 1,363.71 = 656.23 : x
  2. Step 2: Convert to fraction form
    987.91/1,363.71 = 656.23/x
  3. Step 3: Cross multiply
    987.91x = 1,363.71 × 656.23
  4. Step 4: Simplify right side
    987.91x = 894,907.41
  5. Step 5: Solve for x
    x = 894,907.41/987.91
  6. Step 6: Final answer
    x = 905.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.